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Finding the Fourth Proportional to 165,057.21, 227,553.30 and 113,372.73

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Solution

The fourth proportional to 165,057.21, 227,553.30 and 113,372.73 is: 156,299.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,057.21 : 227,553.30 = 113,372.73 : x
  2. Step 2: Convert to fraction form
    165,057.21/227,553.30 = 113,372.73/x
  3. Step 3: Cross multiply
    165,057.21x = 227,553.30 × 113,372.73
  4. Step 4: Simplify right side
    165,057.21x = 25,798,338,841.51
  5. Step 5: Solve for x
    x = 25,798,338,841.51/165,057.21
  6. Step 6: Final answer
    x = 156,299.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.